simplify
(x^1/4)^4/9

- anonymous

simplify
(x^1/4)^4/9

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- jim_thompson5910

use the rule
(a^b)^c = a^(b*c)

- anonymous

x^7/36?

- jim_thompson5910

how are you getting 7?

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## More answers

- anonymous

4?

- jim_thompson5910

is 1/4 really 7/4?

- anonymous

over 13

- jim_thompson5910

all you need to do is multiply the exponents 1/4 and 4/9

- jim_thompson5910

make sure to reduce as much as possible

- anonymous

would it be 4/13?

- jim_thompson5910

no

- anonymous

25/36

- jim_thompson5910

hopefully you're not just guessing the answer choices

- anonymous

9*4=36

- jim_thompson5910

good

- jim_thompson5910

the numerators multiply to ?

- anonymous

4

- jim_thompson5910

so it's 4/36 which reduces to what?

- anonymous

1/9

- jim_thompson5910

thats the exponent of the answer

- anonymous

how abou ths one?
Simplify (7 – 2i) – (3 + 9i)

- jim_thompson5910

Hint: (7 – 2i) – (3 + 9i) = 7 – 2i – 3 - 9i

- anonymous

4-11i

- jim_thompson5910

good

- jim_thompson5910

don't forget, when you're distributing that negative through, it has to go to each term inside

- anonymous

solve sqrt x+3-3=x

- jim_thompson5910

sqrt(x+3) - 3 = x
sqrt(x+3) = x+3
x+3 = (x+3)^2
x+3 = x^2+6x+9
I'll let you finish

- anonymous

x=-2 x=-3

- jim_thompson5910

now check those potential answers

- anonymous

-3 doesnt work

- jim_thompson5910

whys that

- anonymous

wait -3=-3

- jim_thompson5910

so that confirms -3

- jim_thompson5910

what about -2

- anonymous

the both work

- jim_thompson5910

yep

- jim_thompson5910

sometimes only one works or sometimes none work, so that's why you need to check both

- anonymous

Explain, in complete sentences, how you might show that radicals should be simplified before being added or subtracted to another radical.

- jim_thompson5910

what do you think on this one

- anonymous

i honestly dont knoe

- jim_thompson5910

well think about it for a sec

- jim_thompson5910

how would you simplify any radical

- anonymous

square root

- jim_thompson5910

yes how would you simplify those

- anonymous

umm

- anonymous

i dont understand

- jim_thompson5910

how would you simplify something like sqrt(48)

- anonymous

square 48

- jim_thompson5910

If you're not sure, this page explains how to simplify radicals
http://www.regentsprep.org/Regents/math/ALGEBRA/AO1/Lsimplify.htm

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